Step-by-step · Step-by-step · 8 minute

Step-by-step: a Labouchère line

Write 1-2-3-4, bet di two end, cross dem off wen yuh win, add di loss pon di end. Di cancellation system tru one line weh clear an one weh run weh.

Short ansa

A simulate Labouchère session at $5 a unit, target $50 fi evry line. Di fus line clear inna 8 spin fi exactly $50. Di second one run to a line a 16 numba an a $200 stake bifo di table limitpon di tableTable limitDi minimum an maximum bet dem allow. Di maximum a weh stop progression weh double up.Read di whole ting → mek wi drop it $400 down. It usually work, an den it nuh work.

unit
$5
line
1 2 3 4 (di target: $50)
stake
fus + las numba
result
−$350 ova 39 spin

Walk tru di system

Di stake a di fus numba plus di las one. A win cross off both. A loss write di stake at di end.

1234
nex stake5result till now0line weh clear0spin0

Stake an result deh inna unit a di base bet.

Di plan

Write 1 2 3 4 pon a card. Evry spin, stake di two end numba add up, pon redbet demRedEven-money bet pon di 18 red numba. Inna French: rouge.Read di whole ting →. A win cross off both numba; a loss add di stake pon di right-hand end. Di line clear wen nutten nuh lef, an dat net di original total, 10 unitmoney mattaUnitDi base stake weh a system or a playa work wid. Dem describe progression inna unit suh dem work at any table.Read di whole ting →, $50. A line only need one win fi evry two loss fi clear, cause evry win tek off two numba an evry loss add one. Red win 48.65% a di spin dem, an dat more dan di one-inna-tree weh it need, suh most line clear.

Line 1, spin 1–8

1 2 3 4 → stake 5 (1+4): Lose, line 1 2 3 4 5. Stake 6: Win, line 2 3 4. Stake 6: Lose, line 2 3 4 6. Stake 8: Win, line 3 4. Stake 7: Lose, line 3 4 7. Stake 10: Win, line 4. Stake 4: Lose, line 4 4. Stake 8: Win, clear. Eight spin, four win an four loss. Net +$50, exactly di target, an di stake neva go ova $50. It work like a likkle machine.

spinline bifostakeresultline afta
11 2 3 4$25Lose1 2 3 4 5
21 2 3 4 5$30Win2 3 4
32 3 4$30Lose2 3 4 6
42 3 4 6$40Win3 4
53 4$35Lose3 4 7
63 4 7$50Win4
74$20Lose4 4
84 4$40Winclear · +$50
Stake inna dolla at a $5 unit. Di line clear anytime di win dem come at leas half as often as di loss dem.
Di fus line clear inna eight spin: four win, four loss, an di whole target win.

Line 2, spin 9–39

1 2 3 4 again. Eleven loss inna di fus twelve spin. Evry loss add a numba weh a two odda one add up, suh di line grow inna both length an size: afta twelve spin it did read 2 3 4 5 6 7 8 9 10 12 14 16 18 an di stake did deh pon $100. By spin 23 it did have 16 numba an di cycle did deh pon −$850. Win dem cross off di big end numba, an dat help: nine win inna di nex fifteen spin cut di line down to 12 14 16 18 an di cycle to −$250 by spin 38, an di stake touch di $200 limit pon di way. Den zeropon di wheelZeroDi one green pocket weh no even-money, dozen or column bet nuh cover; a weh di house edge come fram. Nex name: single zero, 0.Read di whole ting →: di $150 stake lose, di line read 12 14 16 18 30, an di nex stake, $210, did deh ova di limit. Di cycle did deh pon −$400. Wi stop. Di line woulda clear fi +$50 eventually, if “eventually” did reach bifo di limit an bifo di bankrollmoney mattaBankrollAll di money yuh set aside fi play. Fi manage yuh bankroll mean yuh decide ow much a it yuh a go risk pon evry bet an evry session.Read di whole ting → done.

Dis session an nine more like itresult versus di start
+$1,743$0−$500+$1,360−$2500125250375500spinresult
1,000 session × 500 spin · violet p10/p25/p75/p90, light blue median, 83 faint sample · move ova di chart fi see di quantile dem at a spin
  • p10 −$500
  • p25 −$500
  • median −$500
  • p75 −$500
  • p90 +$1,360
1,000 session × 500 spin · y-axis cut to di 1st–99th percentile (di extreme dem: −$500 to +$1,933) · 500 spin · $5 base · even-money bet
Most line clear inna small step. Di one dem weh nuh clear run weh faster dan Martingale, cause di stake a a sum, nuh one single numba.

Di account

Total bet $3,770 ova 39 spin gainst $195 flat. Expected lossmathsExpected lossExpected value times all di money yuh bet; di average amount yuh lose ova a session or a period (di loss yuh fi expec pon average).Read di whole ting → pon $3,770 a $102; actual −$350, bout a third a a standard deviationmathsStandard deviationDi square root a variance; ow far a result usually deh fram di expected value.Read di whole ting → below, cause at dem stake yah one standard deviation a bout $700. A Labouchèrestrategy demLabouchèreCancellation system: write a line a numba, bet di sum a di two end, cross dem off afta a win, add di stake weh yuh lose afta a loss.Read di whole ting → line weh run weh a di heavies turnovermoney mattaTurnoverAll di money yuh bet ova a session or a period, countin di winnins yuh bet again (all di money yuh bet, roun afta roun). Nex name: handle, action.Read di whole ting → a any common system, cause evry loss raise di stake by di size a di loss an di line nuh have nuh ceilin but di table own.

Wah di session show

Labouchère have a rare ting: it usually work, an dat a why it did a ting fi chat bout at Victorian dinna, an why it still sell. Di line dem weh clear small an come often; di line weh run weh big an rare, an it nuh have nuh end to ow big it can get. Di expected loss pon evry dolla a −2.70% inna both half, an di only ting di system do a decide which half yuh deh inna pon a given night.

Question dem

Mi can split a long line?

Yes: a line like 1 2 3 4 5 6 8 9 can split inna two line wid di same total, an dat bring down di stake an double di numba a line fi clear. It change di shape, nuh di price.

Wah mek yuh nuh use a shorter line?

A line a 1 1 a a two-unit target wid a $10 stake; it clear quick an run weh jus as easy. Di length only set di target.

Dis a di “cancellation system” dem sell online?

Yes, unda a dozen name. Henry Labouchère mek it popular inna di 1870s; a nuh im invent it.

Sumting fi laugh

It usually clear. Di odda one dem need more paper.

It usually clear. Di odda one dem need more paper.

Source dem

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapter 13, roulette.
  2. Schwartz, D. G. Roll the Bones: The History of Gambling. Gotham, 2006.
wi check it 2026-09-28model: European wheel, single zeroow wi work it out ↗source dem ↗